A criterion of convergence of nonrandomly centered random sums of independent identically distributed random variables

DOI10.1007/BF02362284zbMath0913.60043OpenAlexW2010825548MaRDI QIDQ1269981

V. Yu. Korolev, Victor M. Kruglov

Publication date: 24 November 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02362284

zbMATH Keywords

weak convergenceweak compactness

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Cites Work

• Convergence in law of random sums with non-random centering
• Convergence of nonrandomly centered random sums
• Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables
• A Necessary and Sufficient Condition for Convergence in Law of Random Sums of Random Variables Under Nonrandom Centering
• Weak Compactness of Random Sumsof Independent Random Variables
• The asymptotic distribution of the sum of a random number of random variables
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